David Hyde and Alex Pothen introduce the Special Issue on Quantum Computing and survey some exciting technical developments.
Quantum algorithms can be understood through linear algebra and offer different tradeoffs than classical algorithms.
The fusion of machine learning and quantum computing has created an unprecedented avenue for innovation.
Quantum computing promises enormous computing power at low costs, marking a new chapter for financial mathematics.
It is quite difficult to fully harness the potential of quantum computers and outperform classical computers.
The High School Mathematical Contest in Modeling tasked students with two open-ended, real-world problems.
The Hackathon encouraged participants to tackle questions about worldwide energy data availability and solar resource potential.
Mark Levi draws connections between the conformal equivalence and electrical resistance of annular regions.
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2017 / xxiv + 456 pages / softcover / ISBN 978-1-611975-19-2 / List Price $76.00 / SIAM Member Price $53.20 / Order Code: CL78
Keywords: elementary, algorithmic, numerical analysis, scientific computation
Contents Preface to the Classics Edition; Preface; Errata; Introduction; Chapter 1: Number Systems and Errors; Chapter 2: Interpolation by Polynomial; Chapter 3: The Solution of Nonlinear Equations; Chapter 4: Matrices and Systems of Linear Equations; Chapter 5: Systems of Equations and Unconstrained Optimization; Chapter 6: Approximation; Chapter 7: Differentiation and Integration; Chapter 8: The Solution of Differential Equations; Chapter 9: Boundary Value Problems; Appendix: Subroutine Libraries; Appendix: New MATLAB Programs; References; Index.
This book provides a thorough and careful introduction to the theory and practice of scientific computing at an elementary, yet rigorous, level, from theory via examples and algorithms to computer programs. The intended audience is upper-division undergraduates in engineering, mathematics, and the sciences, including computer science. The book has served well as a text book. The original FORTRAN programs have been rewritten in MATLAB and now appear in a new appendix and online, offering a modernized version of this classic reference for basic numerical algorithms.
About the Authors Samuel D. Conte was a Professor of Computer Science and Mathematics at Purdue University. Starting in 1962, he led the Purdue Department of Computer Science for its first 17 years. Prior to that, Professor Conte served as the manager of the Math and Programming Department of the Aerospace Corporation, taught at Wayne State University, and was head of the Mathematics and Programming Departments at TRW Inc.
Carl de Boor is presently Professor emeritus of Mathematics and Computer Science at the University of Wisconsin-Madison and Affiliated Professor of Applied Mathematics at the University of Washington. His early work at the Mathematics Department of GM Research at Warren, MI led to his lifelong preoccupation with spline functions. He is the author of A Practical Guide to Splines and co-author of Box Splines. He is the recipient of the 2003 National Medal of Science in Mathematics and Computer Science in recognition of his contributions to scientific computing.
ISBN 9781611975192